{"id":4601,"date":"2016-05-17T09:49:00","date_gmt":"2016-05-17T04:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-7-4\/"},"modified":"2016-05-17T11:01:44","modified_gmt":"2016-05-17T05:31:44","slug":"ncert-solutions-class-11-maths-exercise-7-4","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-7-4\/","title":{"rendered":"NCERT Solutions class-11 Maths Exercise 7.4"},"content":{"rendered":"

Exercise 7.4<\/strong><\/p>\n

1. If find <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

2. Determine if:<\/strong><\/p>\n

(i) <\/strong><\/p>\n

(ii) <\/strong><\/p>\n

Ans. (i)<\/strong> Given: <\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

(ii)<\/strong> Given: <\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

3. How many chords can be drawn through 21 points on a circle?<\/strong><\/p>\n

Ans. <\/strong>There are 21 points on the circumference of a circle. Since one and only one chord can be drawn by joining 2 distinct points, therefore the required number of chords given by<\/p>\n

<\/p>\n

\n

4. In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?<\/strong><\/p>\n

Ans. <\/strong>There are 5 boys and 4 girls and 3 out of 5 boys and 3 out of 4 girls have to be selected.<\/p>\n

Number of ways of selection = <\/p>\n

= = = 40<\/p>\n

\n

5. Find the number ways of selecting 9 balls from 6 red balls, 5 white balls and 5 blue balls if each selection consists of 3 balls of each colour.<\/strong><\/p>\n

Ans. <\/strong>There are 6 red balls, 5 white balls and 5 blue balls. 3 balls of each colour have to be found.<\/p>\n

Number of ways of selection = <\/p>\n

= <\/p>\n

= = 2000<\/p>\n

\n

6. Determine the number of 5 card combinations out of a deck of 52 cards if there is exactly one ace in each combination.<\/strong><\/p>\n

Ans. <\/strong>There are 4 aces and 48 other cards in a deck of 52 cards. We have to select 1 ace out of 4 aces and 4 other cards out of 48 other cards.<\/p>\n

Number of ways of selection = <\/p>\n

= <\/p>\n

= = 778320<\/p>\n

\n

7. In how many ways can one select a cricket team of eleven from 17 players in which only 5 players can bowl if each cricket team of 11 must include exactly 4 bowlers?<\/strong><\/p>\n

Ans. <\/strong>There are 5 bowlers and 12 other players in a team of 17 players we have to select 4 bowels out of 5 bowlers and 7 other players out of 12 other players.<\/p>\n

Number of ways of selection = <\/p>\n

= <\/p>\n

= <\/p>\n

= = 3960<\/p>\n

\n

8. A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected.<\/strong><\/p>\n

Ans. <\/strong>There are 5 black and 6 red balls. We have to select 2 black balls out of 5 black balls and 3 red balls out of 6 red balls.<\/p>\n

Number of ways of selection = = <\/p>\n

= = 200<\/p>\n

\n

9. In how many ways can a student choose a program of 5 courses if 9 courses are available and 2 specific courses are compulsory for every student?<\/strong><\/p>\n

Ans. <\/strong>There are 9 courses and number of courses to be selected are 5 in which 2 specific courses are compulsory. 3 courses out of remaining 7 courses have to be selected.<\/p>\n

Number of ways of selection = = <\/p>\n

= = 35<\/p>\n","protected":false},"excerpt":{"rendered":"

Exercise 7.4 1. If find Ans. Given: 2. Determine if: (i) (ii) Ans. (i) Given: (ii) Given: 3. How many chords can be drawn through 21 points on a circle? Ans. There are 21 points on the circumference of a circle. Since one and only one chord can be drawn by joining 2 distinct points, … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[47,281],"tags":[],"class_list":["post-4601","post","type-post","status-publish","format-standard","hentry","category-cbse-class-11","category-ncert-solutions"],"yoast_head":"\nNCERT Solutions class-11 Maths Exercise 7.4 | myCBSEguide<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-7-4\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions class-11 Maths Exercise 7.4 | myCBSEguide\" \/>\n<meta property=\"og:description\" content=\"Exercise 7.4 1. If find Ans. Given: 2. Determine if: (i) (ii) Ans. (i) Given: (ii) Given: 3. How many chords can be drawn through 21 points on a circle? Ans. There are 21 points on the circumference of a circle. Since one and only one chord can be drawn by joining 2 distinct points, ... 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content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-7-4\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-7-4\/\"},\"author\":{\"name\":\"myCBSEguide\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/10b8c7820ff29025ab8524da7c025f65\"},\"headline\":\"NCERT Solutions class-11 Maths Exercise 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